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Simplifying 0.8(x + 200) = 0.85x + -220 Reorder the terms: 0.8(200 + x) = 0.85x + -220 (200 * 0.8 + x * 0.8) = 0.85x + -220 (160 + 0.8x) = 0.85x + -220 Reorder the terms: 160 + 0.8x = -220 + 0.85x Solving 160 + 0.8x = -220 + 0.85x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.85x' to each side of the equation. 160 + 0.8x + -0.85x = -220 + 0.85x + -0.85x Combine like terms: 0.8x + -0.85x = -0.05x 160 + -0.05x = -220 + 0.85x + -0.85x Combine like terms: 0.85x + -0.85x = 0.00 160 + -0.05x = -220 + 0.00 160 + -0.05x = -220 Add '-160' to each side of the equation. 160 + -160 + -0.05x = -220 + -160 Combine like terms: 160 + -160 = 0 0 + -0.05x = -220 + -160 -0.05x = -220 + -160 Combine like terms: -220 + -160 = -380 -0.05x = -380 Divide each side by '-0.05'. x = 7600 Simplifying x = 7600
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